Solve the following system of equations by the substitution method. x - y = 0 x - y - 2 = 0 what is the solution set? {(1, -1)} {(-1, 1)} ∅

∅ no solution

Step-by-step explanation:

Given the two equations:

x - y = 0 and x - y - 2 = 0,  add '2' to both sides of the second equation:

x - y - 2 + 2 = 0 + 2 or x - y = 2

So, this is saying that 'x - y' can be equal to both 0 and 2, which isn't possible.  To check your work, set one equation equal to the other variable, then substitute and solve:

x = 2 + y

2 + y - y = 0

2 ≠ 0

no solution is possible

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.